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Parrises squares, or parisses squares, was a vigorous and rather violent athletic game played by people from many worlds and ages during the 24th century. Its popularity among youth was a concern for parents.

The game involved two teams of four players. Substitutions were possible, which allowed teams to rotate active and resting teammates. Some players, such as CommanderWilliam T. Riker, disliked the practice, feeling that doing so created a disruptive loss of a team's "rhythm". (TNG: "11001001")

When playing parrises squares, players wore padded uniforms and used a piece of equipment called an ion mallet. The game also involved a ramp, and if players were not careful, they could fall off and injure themselves. (TNG: "Future Imperfect")

While healing a deep cut on William Riker's face, which he acquired from Data's cat, Spot, DoctorCrusher admonished him, giving an order to "Stop playing parrises squares as if you're 21!" She continued dispensing advice: "One day, you'll break your neck, and I won't be able to heal that as easily." (TNG: "Timescape")

In 2373, The Doctor created a holographicfamily to help him better understand and empathize with his patients, and his daughter, Belle, was on her school's parrises squares team. This worried her parents, especially The Doctor, for parrises squares was a potentially dangerous game – even more so for Belle, who played in a league of children older than she. Their concern proved prescient and justified: She later died from injuries sustained during a competition. (VOY: "Real Life")

EnsignHarry Kim played during his time as a cadet, mentioning that he knows what it feels like to take an Ion Mallet to the ribs, and that he was Academy champion three times. (VOY: "Tsunkatse")

In the fictional future created by Barash for William Riker, Barash's avatar Jean-Luc Riker broke his wrist playing Parrises Squares. The elder Riker was displeased that Jean-Luc was playing Parrises Squares at his age, saying he could have broken his neck, but Dr. Crusher politely pointed out to him that Will was even younger than Jean-Luc when he started. (TNG: "Future Imperfect")